Base | Representation |
---|---|
bin | 1010010100101… |
… | …00010111001000 |
3 | 20000221021102010 |
4 | 11022110113020 |
5 | 134131402140 |
6 | 12331535520 |
7 | 2101003443 |
oct | 512242710 |
9 | 200837363 |
10 | 86590920 |
11 | 44973049 |
12 | 24bba5a0 |
13 | 14c2a340 |
14 | b70065a |
15 | 7906880 |
hex | 52945c8 |
86590920 has 128 divisors (see below), whose sum is σ = 285949440. Its totient is φ = 20843520.
The previous prime is 86590919. The next prime is 86590939. The reversal of 86590920 is 2909568.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72730 + ... + 73910.
It is an arithmetic number, because the mean of its divisors is an integer number (2233980).
Almost surely, 286590920 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86590920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142974720).
86590920 is an abundant number, since it is smaller than the sum of its proper divisors (199358520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86590920 is a wasteful number, since it uses less digits than its factorization.
86590920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 39.
The square root of 86590920 is about 9305.4242246122. The cubic root of 86590920 is about 442.4091677329.
The spelling of 86590920 in words is "eighty-six million, five hundred ninety thousand, nine hundred twenty".
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